343422400332000 has 384 divisors, whose sum is σ = 1235457298123776. Its totient is φ = 82702560000000.

The previous prime is 343422400331963. The next prime is 343422400332031. The reversal of 343422400332000 is 233004224343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11317150 + ... + 28546850.

It is an arithmetic number, because the mean of its divisors is an integer number (3217336713864).

Almost surely, 2^{343422400332000} is an apocalyptic number.

343422400332000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343422400332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617728649061888).

343422400332000 is an abundant number, since it is smaller than the sum of its proper divisors (892034897791776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343422400332000 is a wasteful number, since it uses less digits than its factorization.

343422400332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17229891 (or 17229873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 343422400332000 its reverse (233004224343), we get a palindrome (343655404556343).

The spelling of 343422400332000 in words is "three hundred forty-three trillion, four hundred twenty-two billion, four hundred million, three hundred thirty-two thousand".